## baldymcgee6 Group Title Is taking the derivative of e^x technically using the exponential rule? one year ago one year ago

1. jayz657 Group Title

derivative of e^x is e^x, it doesnt change not power rule if thats what you mean

2. baldymcgee6 Group Title

I know what the derivative of e^x is, that's not what I asked.

3. jayz657 Group Title

theres no such thing as an exponetial rule btw

4. baldymcgee6 Group Title
5. jayz657 Group Title

that link shows derivatives of exponential functions there is no rule for it, all you need to know about derivatives of e^x is e^x or if your talk about functions like 2^x then you need to log the function so you could bring down the x and take derivative of it

6. baldymcgee6 Group Title

would you agree that $d/dx(2^x) = 2^xln(2)$

7. baldymcgee6 Group Title

@jayz657

8. jayz657 Group Title

yea doing derivatives of y= 2^x is different from e^x since you dont need to do logs for e^x ln(y) = xln(2) 1/y dy/dx = ln(2) dy/dx = yln(2) y' = 2^x ln(2)

9. AccessDenied Group Title

Yes, this is just a specific case for the exponential rule: $$\large \frac{d}{dx}(e^x) = e^x \ln e = e^x * 1 = e^x$$

10. baldymcgee6 Group Title

Thank you @AccessDenied

11. AccessDenied Group Title

You're welcome. :)